A dishonest 800 g kilogram — Profit & Loss Aptitude Question
A dishonest 800 g kilogram: A dealer professes to sell his goods at cost price but uses a weight of 800 g for a… Answer and worked solution on CodeKairo.
- Topic: Profit & Loss
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 75 seconds
Question
A dealer professes to sell his goods at cost price but uses a weight of 800 g for a kilogram. What is his gain percent?
Options
- 20%
- 22%
- 25%
- 30%
Show the answer and the worked solution
Correct answer: C. 25%
Worked solution
- For every 800 g given, the dealer collects the price of 1,000 g.
- Gain = 200 g on goods worth 800 g.
- Gain % = 200/800 × 100 = 25%.
Answer: 25%.
The idea
Gain from a false weight = error ÷ (true weight − error) × 100. The base is what was actually delivered, which is why the answer exceeds the obvious 20%.
Shortcut. The price of 1,000 g is collected for 800 g delivered: 1000/800 = 5/4, a mark-up of 25%.
Common trap. 20% — dividing the 200 g shortfall by the full 1,000 g instead of by the 800 g actually delivered.